Well, the San Francisco Giants aren't sue happy and they dont need to go after a non profit organization that promotes baseball and allows more people to play baseball. In actuality they like to help teams with sponsorship, uniforms, baseballs and equipment. The generally give their ok to little league, babe ruth, Ripken baseball, Jr. Legion, American Legion and many semi pro and adult baseball leagues. It benefits them in more ways than just 1. So to answer your question yes we have been fully approved for all of that. However as it was stated the font is not copyrighted and the Giants didnt originally make that font. They got it from someone else as well.
The St Louis Cardinals and the Arizona Cardinals, the NY Giants in football and the SF Giants and any other teams that share a name would be suing each other if this was the case.